JordanDecompose[]

*To*: mathgroup at smc.vnet.net*Subject*: [mg124012] JordanDecompose[]*From*: Leslaw Bieniasz <nbbienia at cyf-kr.edu.pl>*Date*: Thu, 5 Jan 2012 05:58:51 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi, MATHEMATICA has a built-in function JordanDecompose[] that can computes a Jordan normal form of a given matrix, and the related similarity matrix. Most importantly, it can obtain symbolic representations of these matrices, for a matrix given exclusively in terms of symbols (no concrete numbers, but symbols representing matrix elements). My question is: what kind of an algorithm is used by this function, in the symbolic mode of operation? I would appreciate references to the mathematical literature describing the algorithm. Leslaw